标题： 局域化$f$电子的非时间有序关联函数在法利科夫-金巴尔模型中 显示英文标题

标题： Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model

摘要： 我们提供了在动力学平均场理论下，局域化$f$粒子态在 Falicov-Kimball 模型中对时序关联（OTOC）函数的精确评估。 通过计算中使用的块 Toeplitz 矩阵的绕数来区分量子混沌和量子打乱的不同区域。 还讨论了这些费米子 OTOC 以及时间演化中的李雅普诺夫指数与具有无序的量子自旋模型的 OTOC 之间的相似性。 显示英文摘要

摘要： We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized $f$-particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling are distinguished by the winding numbers of the block Toeplitz matrices used in the calculation. The similarities of these fermionic OTOCs and their Lyapunov exponents for time evolution with the OTOCs for quantum spin models with disorder are also discussed.